{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "from io import BytesIO\n",
    "\n",
    "import psycopg2\n",
    "import postgis\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "from PIL import Image\n",
    "\n",
    "from solml import download\n",
    "from solml.compute import compute_angle\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "251428219"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "nb_worker = 100\n",
    "id_worker = 19\n",
    "compute_angle.process_building(nb_worker, id_worker)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "id_osm = 251428219"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import configparser\n",
    "import os\n",
    "\n",
    "# Read config\n",
    "\n",
    "config = configparser.ConfigParser()\n",
    "config.read('../config.ini')\n",
    "database_host = config['main']['database_host']\n",
    "database_port = config['main']['database_port']\n",
    "database_name = config['main']['database_name']\n",
    "database_username = config['main']['database_username']\n",
    "database_password = config['main']['database_password']\n",
    "assert database_host == 'localhost'\n",
    "assert database_port == '1234'\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "connection = psycopg2.connect(dbname=database_name, user=database_username, password=database_password)\n",
    "cursor = connection.cursor()\n",
    "postgis.register(cursor)\n",
    "\n",
    "cursor.execute(\"\"\"\n",
    "    select original_image, angle_rad, size_WM_X, size_WM_Y\n",
    "    from buildings\n",
    "    where id_osm=%s\n",
    "    ;\n",
    "    \"\"\", [id_osm])\n",
    "data = cursor.fetchall()[0]\n",
    "original_bytes, angle_rad, size_WM_X, size_WM_Y = data\n",
    "\n",
    "\n",
    "cursor.close()\n",
    "connection.close()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "buffer = BytesIO(original_bytes)\n",
    "original_image = Image.open(buffer)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DYNhyOuz9Q2u11tKzldaqtoYIWnPgQMjmRojspG7993BwZCIkdK8l51IQcRgHNZ/Pi4O7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\n/o9f3If75frl+uX6x7T+T4yg5ZemjznFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=172x148 at 0x7F4BD1C484E0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "angle_degree = angle_rad * 180. / math.pi\n",
    "straight_image = original_image.rotate(-angle_degree, resample=Image.BICUBIC, expand=True)\n",
    "straight_array = np.asarray(straight_image)\n",
    "straight_size_X, straight_size_Y, _ = straight_array.shape\n",
    "straight_image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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v/z9///f/+T99/8c/PD0+vfxiGoeUUjTz83J+/dNPT09PXYgI6mBuDpd+0QF6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\n/f8AUElppx9GDWwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<PIL.Image.Image image mode=RGB size=129x97 at 0x7F4BD1C4B390>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "size_X = size_WM_X / download.pixelSizeX\n",
    "size_Y = - size_WM_Y / download.pixelSizeY\n",
    "size_X_with_border = int(math.ceil(size_X + 10))\n",
    "size_Y_with_border = int(math.ceil(size_Y + 10))\n",
    "offset_X = int((straight_size_X / 2.) - (size_X_with_border / 2.))\n",
    "offset_Y = int((straight_size_Y / 2.) - (size_Y_with_border / 2.))\n",
    "cropped_array = straight_array[offset_Y:offset_Y+size_Y_with_border, offset_X:offset_X+size_X_with_border]\n",
    "cropped_image = Image.fromarray(cropped_array)\n",
    "cropped_image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
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